What is the Greatest Common Factor of 64971 and 64980?

Greatest common factor (GCF) of 64971 and 64980 is 9.

GCF(64971,64980) = 9

We will now calculate the prime factors of 64971 and 64980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64971 and 64980.

How to find the GCF of 64971 and 64980?

We will first find the prime factorization of 64971 and 64980. After we will calculate the factors of 64971 and 64980 and find the biggest common factor number .

Step-1: Prime Factorization of 64971

Prime factors of 64971 are 3, 7219. Prime factorization of 64971 in exponential form is:

64971 = 3² × 7219¹

Step-2: Prime Factorization of 64980

Prime factors of 64980 are 2, 3, 5, 19. Prime factorization of 64980 in exponential form is:

64980 = 2² × 3² × 5¹ × 19²

Step-3: Factors of 64971

List of positive integer factors of 64971 that divides 64971 without a remainder.

1, 3, 9, 7219, 21657

Step-4: Factors of 64980

List of positive integer factors of 64980 that divides 64971 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 361, 380, 570, 684, 722, 855, 1083, 1140, 1444, 1710, 1805, 2166, 3249, 3420, 3610, 4332, 5415, 6498, 7220, 10830, 12996, 16245, 21660, 32490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64971 and 64980. The biggest common factor number is the GCF number.
So the greatest common factor 64971 and 64980 is 9.

Also check out the Least Common Multiple of 64971 and 64980